Bound states of non-Hermitian quantum field theories

DOI10.1016/S0375-9601(01)00745-9zbMath0983.81045arXivhep-th/0108057OpenAlexW3122156682WikidataQ62599728 ScholiaQ62599728MaRDI QIDQ5950397

Mehmet Simsek, Hugh F. Jones, Stefan Boettcher, Peter N. Meisinger, Carl M. Bender

Publication date: 11 December 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0108057

zbMATH Keywords

non-Hermitian quantum-mechanical HamiltonianPT-symmetric \(g\)/phi\(^4\) quantum field theorytwo-particle bound state

Mathematics Subject Classification ID

Model quantum field theories (81T10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (10)

The effective potential for the PT-symmetric and non-Hermitian \((-g\phi^4)\) field theoretic model ⋮ Parity anomaly in a \(\mathcal{PT}\)-symmetric quartic Hamiltonian ⋮ Bound-state solutions of the Klein-Gordon equation for the generalized \(PT\)-symmetric hulthén potential ⋮ Properties of non-Hermitian quantum field theories. ⋮ The generalized \(PT\) -symmetric sinh-gordon potential solvable within quantum Hamilton-Jacobi formalism ⋮ PT-symmetric solutions of Schrödinger equation with position-dependent mass via point canonical transformation ⋮ Bound states of the Dirac equation for the \(PT\)-symmetric generalized Hulthén potential by the Nikiforov-Uvarov method ⋮ Two-point Green's function in PT-symmetric theories ⋮ Non-perturbative calculations for the effective potential of the PT symmetric and non-Hermitian (\(-g\varphi ^{4}\)) field theoretical model ⋮ DARBOUX TRANSFORMATION FOR THE ONE-DIMENSIONAL STATIONARY DIRAC EQUATION WITH NON-HERMITIAN INTERACTION

Cites Work

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• Variational ansatz for PT-symmetric quantum mechanics
• Spectral analysis of the complex cubic oscillator
• Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians
• Conjecture on the interlacing of zeros in complex Sturm–Liouville problems
• Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Large-order perturbation theory for a non-Hermitian 𝓟𝓣-symmetric Hamiltonian
• Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant
• 𝓟𝓣-symmetric quantum mechanics
• Quantum complex Hénon-Heiles potentials

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